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Finding the Fourth Proportional to 557.43, 770.07 and 460.23

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Solution

The fourth proportional to 557.43, 770.07 and 460.23 is: 635.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.43 : 770.07 = 460.23 : x
  2. Step 2: Convert to fraction form
    557.43/770.07 = 460.23/x
  3. Step 3: Cross multiply
    557.43x = 770.07 × 460.23
  4. Step 4: Simplify right side
    557.43x = 354,409.32
  5. Step 5: Solve for x
    x = 354,409.32/557.43
  6. Step 6: Final answer
    x = 635.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.